Habitability and sub glacial liquid water on planets of M-dwarf stars

A long-standing issue in astrobiology is whether planets orbiting the most abundant type of stars, M-dwarfs, can support liquid water and eventually life. A new study shows that subglacial melting may provide an answer, significantly extending the habitability region, in particular around M-dwarf stars, which are also the most promising for biosignature detection with the present and near-future technology.


Subglacial liquid water
Maintaining liquid water on the planet's surface for long periods, as might be required for the evolution of life, can be impossible beyond the HZ, and even within it if there's no atmosphere with a sufficient greenhouse effect such as in the case of Mars. Producing liquid water by subglacial melting of local or global ice sheets by geothermal heat may be an alternative to radiative heat from the host star. Ojha et al. 1 have shown that liquid water may be produced and maintained at temperatures above freezing even on planets with modest (as low as 0.1 Earth's) geothermal heat produced by radiogenic elements. They find that subglacial oceans or lakes of liquid water can form by basal melting and persist under ice sheets on Earth-sized exoplanets even for surface temperatures as low as 200 K expected e.g. on Trappist-1g. Under the weight of high-pressure ices, the basal meltwater is buoyant and can migrate upward, feeding intra-glacial lakes and eventually a main water layer or ocean. Basal melting is more likely to occur on planets with thicker ice sheets, higher surface gravity and higher surface temperatures.
Protected by ice layers from energetic radiation of the host star (especially ultraviolet and X-ray radiation likely to occur in outbursts during the early evolutionary stages of M-dwarfs) such subglacial oceans may give a safe neighborhood during the extended period required for the evolution of organic life. Therefore, they are especially suitable for maintaining habitable environments on Earth-to Super Earth-sized exoplanets outside the conservative Habitable Zone of M-stars. Being in contact with the crust such subglacial lakes may provide attractive prospects for the evolution of life, somewhat similar to Europa and Enceladus. For intra-glacial lakes such a chemical contact with the crust has been questioned, but recent works 4 demonstrated that salty high-pressure ices do provide sufficient vertical permeability.
In addition to heat from radioactive elements, subglacial liquid water may be produced by tidal heating. This mechanism can maintain basal melting on planets which do not have enough geothermal radioactive heat production, e.g. small or old planets, if they are closely orbiting their hosts stars. It may be particularly relevant for small (sub-Earth-sized) planets orbiting M-dwarf stars.

Inwards and outwards of the Habitable Zone
The HZ extends between the inner boundary (water evaporates) and the outer one (water freezes). Inward of the HZ (closer to the host star), planets of M-dwarfs (and also of cool K-type stars) are tidally locked, one side constantly facing the host star. If they are rocky and have little or no atmosphere (like Mercury) there can be a large temperature difference between the day and night sides. While the day side may be too hot for maintaining liquid water, the water on the night side is frozen, unless too much heat is transported from the day side (e.g. by atmospheric convection) evaporating the ice. If the heat transport is low, subglacial liquid water is likely to exist and provide a potentially habitable neighborhood. nature communications (2023) 14:2125 | Another mechanism suggested for producing ice sheets on locked planets is when water evaporates at the sub stellar side, being transported and trapped as ice on the night side 5 .This mechanism can work if the geothermal heat is low enough 6 . Even in this case basal melting may be driven by tidal heating. Another obstacle to the habitability of planets of M dwarfs may be atmospheric erosion by stellar winds 7 . Being isolated from apace by the ice cover, subglacial oceans can survive atmospheric erosion and exist even without or little atmosphere.
Taking into account subglacial liquid water, the HZ may be extended also inwards. The inner extended HZ-boundary occurs when the heat transported from the day-side of the locked planet melts and eventually evaporates the ice sheets, as pointed out above. Assuming the relevant flux is set by the Moist Greenhouse limit 8 , Fig. 1 shows two inner boundaries, for 30% or 50% of the radiative energy at the day side being transported to the night side. The lower the transported fraction, the closer is the inner extended HZ boundary to the host star. Also shown in Fig. 1 are the inner HZ boundaries according to the Recent Venus hypothesis (a phenomenological value derived from the flux received relatively recently by Venus, assuming that until about a billion years ago Venus still had liquid water on its surface) and the 3D model for locked, slowly and rapidly rotating planets 9 .
Outwards of the HZ subglacial oceans may exist on geothermally heated rocky exoplanets even for low surface temperatures. Subglacial liquid water may exist out of the traditional HZ also for K-and G-stars, but its contribution to the abundance of habitable planets is most significant for M-dwarfs, as they are the majority of stars, yet their planets might be endangered by the host's energetic radiation. As a conservative outer limit for the HZ extended by basal melting, one may use the flux on Trappist 1g, the coldest exoplanet calculated by Ojha et al. 1 , which is 25% of the flux received by Earth (0.25 S 0 ). This value is roughly coincident with the outer boundary set by the 1D model, as well as with the Early Mars hypothesis 10 (a phenomenological border derived from the flux received some 4 billion years ago by Mars, building on the evidence that early Mars did have liquid water on its surface). However, a yet lower flux value with a further outer boundary of the HZ may be derived from the evidence for an intra-glacial lake in Mars's south pole 11 . Taking for the radiative flux received by Martian polar region cos(i) = 0.2 gives a flux of approximately 0.1 S 0 , which is denoted in Fig. 1 by the line marked Martian polar lakes.

The abundance of habitable planets and life-supporting ocean worlds
Didier Queloz, the co-discoverer of the first exoplanet and Nobel laureate said 12 . "I can't believe we are the only living entity in the whole universe. There's just way too many planets, way too many stars… the chemistry that led to life has to happen elsewhere". On that note, the extended habitability region described above, in particular around the abundant M-dwarfs, may significantly enhance the number of planets with the chemistry needed for the evolution of life. At the same time the ice sheets provide protection against the harsh energetic radiation

Recent Venus
Early Mars Moist Greenhouse 3D locked or slowly rotating

3D rapidly rotating
Habitable Zone boundaries vs flux and parent star type Fig. 1 | Habitable Zone boundaries as a function of stellar type and radiative flux received from the host star, relative to Earth. Long-dashed lines represent the extended boundaries due to subglacial liquid water suggested in this work: blue for the inner HZ boundary (night-side ice evaporates) and red for the outer one (Martian polar lakes). Green and blue lines denote the inner (runaway greenhouse) and outer (maximum CO 2 greenhouse) HZ boundaries, respectively, using the 1-D model 10 . Also marked is the Recent Venus model (medium-dashed blue line), and the 3D Global Climate Model for slowly and rapidly rotating planets 9 (short-dashed red and black curves, respectively). The grey line marks the tidal locking radius 8 . The circles denote Venus, Earth and Mars as well as a few exoplanets. Adaptation from Fig. 3 of Yang et al. 9 . from these stars, which is sometimes considered prohibitive for the evolution of life. As demonstrated below, considering tidally locked planets of M-dwarfs and an extended HZ due to subglacial liquid water may increase the abundance of potentially habitable worlds by a factor of up to approximately 100.
In the solar neighborhood there is about one star per 10 light years cubed, of which 72% are M-dwarfs 13 , while sunlike stars are just 4% of the stars around us and the somewhat cooler and less luminous stars of type K consist around 16%. Thus, assuming also K-and M-dwarfs can support the evolution of life increases the abundance of potentially habitable planets more than 20-fold, compared with the conservative assumption that only sunlike stars can. The Kepler mission has shown that between 10-50% of all stars host a small, rocky planet within their habitable zone 14,15 . This considerably wide range is a result of the uncertainty on the climate model, which determines the boundaries of the Habitable Zone (Fig. 1). Fig. 2 shows the number of expected habitable planets as a function of the distance from Earth for various star types: only G-type host stars (lowest curve), G + K type stars (second lowest curve), and all three types (third curve). While the three lower curves use a conservative climate model, yielding a relatively narrow HZ (approximately the 1D model in Fig. 1), so that approximately 20% of the stars host a small rocky planet within their HZ, the upper curve assumes an extended HZ including subglacial liquid water (the thick long-dashed curves in Fig. 1), increasing the estimated percentage of stars with HZ-planets to about 100%, namely, one habitable planet per M-dwarf. Excluding binary stars, as it has been argued that the orbits of their planets may be unstable, would lower these numbers by a factor of approximately 2.
To conclude, basal melting and subglacial oceans 1 combined with the extended HZ of M-dwarfs 2,16 may provide habitable environments on as much as one planet per star, compared with merely one habitable planet per 100 stars, if only G-type host stars and a conservative HZ model are considered. For closely orbiting locked planets of M-dwarfs, surface liquid water may be found on the night side which is also protected from the energetic radiation of the host star in its early evolutionary stages. On further out planets, which may be less vulnerable to radiation but too cold for surface liquid water, basal melting may produce long lasting subglacial lakes or oceans which can provide protected environment for the evolution of life outside the traditional HZ 17 . Estimating the abundance of habitable worlds, especially around M-dwarf stars is important to identifying eventual targets for biosignature research by JWST and future telescopes. In addition, it affects the likelihood and abundance of potential active extraterrestrial civilizations that should be expected according to the Drake equation and the Fermi Paradox 18 .